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Finding the Fourth Proportional to 32,697.61, 49,031.80 and 9,318.58

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Solution

The fourth proportional to 32,697.61, 49,031.80 and 9,318.58 is: 13,973.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,697.61 : 49,031.80 = 9,318.58 : x
  2. Step 2: Convert to fraction form
    32,697.61/49,031.80 = 9,318.58/x
  3. Step 3: Cross multiply
    32,697.61x = 49,031.80 × 9,318.58
  4. Step 4: Simplify right side
    32,697.61x = 456,906,604.97
  5. Step 5: Solve for x
    x = 456,906,604.97/32,697.61
  6. Step 6: Final answer
    x = 13,973.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.